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F-IF.8.a Warmup M2-023-A08-V03

Use factoring and completing the square to reveal zeros, extrema, and symmetry of quadratics.

Factor a quadratic and solve its zero factors

Problem

Factor \(2x^{2}-8x\) completely by extracting the greatest common factor \(2x\). Set \(\text{both}~\text{factors}\) equal to zero, solve for the zeros, and multiply the factors to verify the original expression.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-IF.8.a
Category
Functions
Domain
Interpreting Functions
Objective
Use factoring and completing the square to reveal zeros, extrema, and symmetry of quadratics.
Problem type
Factor a quadratic and solve its zero factors